/home/nowonder/forschung/aprove/TPDB05/TRS/TRCSR/Ex4_7_15_Bor03_C.trs

The program

(VAR X1 X2 X)
(RULES 
active(f(0)) -> mark(cons(0,f(s(0))))
active(f(s(0))) -> mark(f(p(s(0))))
active(p(s(0))) -> mark(0)
active(f(X)) -> f(active(X))
active(cons(X1,X2)) -> cons(active(X1),X2)
active(s(X)) -> s(active(X))
active(p(X)) -> p(active(X))
f(mark(X)) -> mark(f(X))
cons(mark(X1),X2) -> mark(cons(X1,X2))
s(mark(X)) -> mark(s(X))
p(mark(X)) -> mark(p(X))
proper(f(X)) -> f(proper(X))
proper(0) -> ok(0)
proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
proper(s(X)) -> s(proper(X))
proper(p(X)) -> p(proper(X))
f(ok(X)) -> ok(f(X))
cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
s(ok(X)) -> ok(s(X))
p(ok(X)) -> ok(p(X))
top(mark(X)) -> top(proper(X))
top(ok(X)) -> top(active(X))
)

Submit to AProVE Web Frontend

Edit in AProVE Web Frontend